Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

What does the symbol '>' mean in an inequality?

Back

The symbol '>' means 'greater than'. For example, x > 3 means x is greater than 3.

Front

What does the symbol '<' mean in an inequality?

Back

The symbol '<' means 'less than'. For example, x < 5 means x is less than 5.

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'. For example, x ≥ 2 means x is greater than or equal to 2.

Front

What does the symbol '≤' mean in an inequality?

Back

The symbol '≤' means 'less than or equal to'. For example, x ≤ 4 means x is less than or equal to 4.

Front

How do you represent 'at most' in an inequality?

Back

'At most' is represented by the symbol '≤'. For example, if a temperature is at most 10 degrees, it can be written as T ≤ 10.

Front

How do you represent 'at least' in an inequality?

Back

'At least' is represented by the symbol '≥'. For example, if a score must be at least 50, it can be written as s ≥ 50.

Front

What is the solution to the inequality x < 3?

Back

The solution includes all numbers less than 3, such as 2, 1, 0, -1, etc.

Front

What does an open circle on a number line indicate?

Back

An open circle indicates that the number is not included in the solution set. For example, x < 3 is represented with an open circle at 3.

Front

What does a closed circle on a number line indicate?

Back

A closed circle indicates that the number is included in the solution set. For example, x ≤ 3 is represented with a closed circle at 3.